QCD Mass Inequalities in the Heavy Quark Limit

Abstract

QCD inequalities are derived for the masses of mesons and baryons containing a single heavy quark using the heavy quark effective field theory. A rigorous lower bound is obtained for the $\bar{\Lambda }$ parameters of the heavy quark effective theory that parameterize $1/m$ corrections, $\bar{\Lambda }$ > 237 MeV for mesons, and $\bar{\Lambda }>657$ MeV for baryons. The inequalities on $\bar{\Lambda }$ imply the inequalities $m_c<1627$ MeV and $m_b<5068$ MeV for the mass parameters of the heavy quark effective field theory.

10 pages, 0 figures, uses harvmac

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